Optimal Lipschitz maps on one-holed tori and the Thurston metric theory of Teichmüller space

DOI10.1007/s10711-021-00624-zzbMath1478.32037arXiv1909.03639OpenAlexW3158417530MaRDI QIDQ2230981

Yi Huang, Athanase Papadopoulos

Publication date: 29 September 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03639

zbMATH Keywords

Teichmüller spacegeodesichyperbolic surfaceGromov hyperbolicityarc metricLipschitz metricThurston metriccurve metricpartial stretch pathstretch mapstretch path

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Teichmüller theory for Riemann surfaces (30F60) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items

Local rigidity of the Teichmüller space with the Thurston metric, A Glimpse into Thurston’s Work

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